Least Common Multiple (LCM) of 144 and 131
The least common multiple (LCM) of 144 and 131 is 18864.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 144 and 131?
First, calculate the GCD of 144 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 131 = 1 remainder 13 |
| 2 | 131 ÷ 13 = 10 remainder 1 |
| 3 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 12 | 2316 |
| 165 and 189 | 10395 |
| 105 and 64 | 6720 |
| 42 and 116 | 2436 |
| 179 and 85 | 15215 |